Issolvi sqrt{frac{1+408*1610^-19/2*16710^-27left(310^8right)^2}2*167{10}^-27{left(3{10}^8right)}^2}{2}

$$\frac{ \sqrt{ \frac{ 1+408 \cdot 16 { 10 }^{ -19 } }{ 2 \cdot 167 { 10 }^{ -27 } { \left(3 { 10 }^{ 8 } \right) }^{ 2 } } } 2 \cdot 167 { 10 }^{ -27 } { \left(3 { 10 }^{ 8 } \right) }^{ 2 } }{ 2 }$$

Evalwa

$$\frac{3\sqrt{13046875000000008517}}{125000000000000}\approx 0.000086689$$

Passi tas-Soluzzjonijiet

Annulla 2 u 2.

$$167\sqrt{\frac{1+408\times 16\times 10^{-19}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Immultiplika 408 u 16 biex tikseb 6528.

$$167\sqrt{\frac{1+6528\times 10^{-19}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Ikkalkula 10 bil-power ta' -19 u tikseb \frac{1}{10000000000000000000}.

$$167\sqrt{\frac{1+6528\times \frac{1}{10000000000000000000}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Immultiplika 6528 u \frac{1}{10000000000000000000} biex tikseb \frac{51}{78125000000000000}.

$$167\sqrt{\frac{1+\frac{51}{78125000000000000}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Żid 1 u \frac{51}{78125000000000000} biex tikseb \frac{78125000000000051}{78125000000000000}.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Immultiplika 2 u 167 biex tikseb 334.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{334\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Ikkalkula 10 bil-power ta' -27 u tikseb \frac{1}{1000000000000000000000000000}.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{334\times \frac{1}{1000000000000000000000000000}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Immultiplika 334 u \frac{1}{1000000000000000000000000000} biex tikseb \frac{167}{500000000000000000000000000}.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{167}{500000000000000000000000000}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Ikkalkula 10 bil-power ta' 8 u tikseb 100000000.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{167}{500000000000000000000000000}\times \left(3\times 100000000\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Immultiplika 3 u 100000000 biex tikseb 300000000.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{167}{500000000000000000000000000}\times 300000000^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Ikkalkula 300000000 bil-power ta' 2 u tikseb 90000000000000000.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{167}{500000000000000000000000000}\times 90000000000000000}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Immultiplika \frac{167}{500000000000000000000000000} u 90000000000000000 biex tikseb \frac{1503}{50000000000}.

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{1503}{50000000000}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Iddividi \frac{78125000000000051}{78125000000000000} b'\frac{1503}{50000000000} billi timmultiplika \frac{78125000000000051}{78125000000000000} bir-reċiproku ta' \frac{1503}{50000000000}.

$$167\sqrt{\frac{78125000000000051}{78125000000000000}\times \frac{50000000000}{1503}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Immultiplika \frac{78125000000000051}{78125000000000000} u \frac{50000000000}{1503} biex tikseb \frac{78125000000000051}{2348437500}.

$$167\sqrt{\frac{78125000000000051}{2348437500}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{78125000000000051}{2348437500}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{78125000000000051}}{\sqrt{2348437500}}.

$$167\times \frac{\sqrt{78125000000000051}}{\sqrt{2348437500}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Iffattura 2348437500=3750^{2}\times 167. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3750^{2}\times 167} bħala l-prodott tal-għeruq kwadrati \sqrt{3750^{2}}\sqrt{167}. Ħu l-għerq kwadrat ta' 3750^{2}.

$$167\times \frac{\sqrt{78125000000000051}}{3750\sqrt{167}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{78125000000000051}}{3750\sqrt{167}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{167}.

$$167\times \frac{\sqrt{78125000000000051}\sqrt{167}}{3750\left(\sqrt{167}\right)^{2}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Il-kwadrat ta' \sqrt{167} huwa 167.

$$167\times \frac{\sqrt{78125000000000051}\sqrt{167}}{3750\times 167}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Biex timmultiplika \sqrt{78125000000000051} u \sqrt{167}, immultiplika n-numri taħt l-għerq kwadrat.

$$167\times \frac{\sqrt{13046875000000008517}}{3750\times 167}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Immultiplika 3750 u 167 biex tikseb 626250.

$$167\times \frac{\sqrt{13046875000000008517}}{626250}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

Ikkalkula 10 bil-power ta' -27 u tikseb \frac{1}{1000000000000000000000000000}.

$$167\times \frac{\sqrt{13046875000000008517}}{626250}\times \frac{1}{1000000000000000000000000000}\times \left(3\times 10^{8}\right)^{2}$$

Immultiplika 167 u \frac{1}{1000000000000000000000000000} biex tikseb \frac{167}{1000000000000000000000000000}.

$$\frac{167}{1000000000000000000000000000}\times \frac{\sqrt{13046875000000008517}}{626250}\times \left(3\times 10^{8}\right)^{2}$$

Ikkalkula 10 bil-power ta' 8 u tikseb 100000000.

$$\frac{167}{1000000000000000000000000000}\times \frac{\sqrt{13046875000000008517}}{626250}\times \left(3\times 100000000\right)^{2}$$

Immultiplika 3 u 100000000 biex tikseb 300000000.

$$\frac{167}{1000000000000000000000000000}\times \frac{\sqrt{13046875000000008517}}{626250}\times 300000000^{2}$$

Ikkalkula 300000000 bil-power ta' 2 u tikseb 90000000000000000.

$$\frac{167}{1000000000000000000000000000}\times \frac{\sqrt{13046875000000008517}}{626250}\times 90000000000000000$$

Immultiplika \frac{167}{1000000000000000000000000000} u 90000000000000000 biex tikseb \frac{1503}{100000000000}.

$$\frac{1503}{100000000000}\times \frac{\sqrt{13046875000000008517}}{626250}$$

Immultiplika \frac{1503}{100000000000} b'\frac{\sqrt{13046875000000008517}}{626250} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{1503\sqrt{13046875000000008517}}{100000000000\times 626250}$$

Annulla 501 fin-numeratur u d-denominatur.

$$\frac{3\sqrt{13046875000000008517}}{1250\times 100000000000}$$

Immultiplika 1250 u 100000000000 biex tikseb 125000000000000.

$$\frac{3\sqrt{13046875000000008517}}{125000000000000}$$